Synthetic Division and the Remainder Theorem

Question 1

Step 3 - Fill in the missing numbers:b =

Revolt · Accepted Answer

Step 3 - Fill in the missing numbers:b =: 2; c =: -1; d =: -2

Question 2

Step 2 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is 2 and to the outside below 1 is a. a =

Revolt · Accepted Answer

1

Question 3

Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2 .Step 1 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is k. k =

Revolt · Accepted Answer

2

Question 4

Complete the division. The remainder is 0.The quotient is ✔ x² - x - 12-x² + x + 12X 12x² - x - 112x² + x + 1.

Revolt · Accepted Answer

A: ✔ x² - x - 12

Question 5

Look at the work shown for the division problem shown on the right. The remainder is ⇒ 8.

Revolt · Accepted Answer

8

Question 6

Compare the values you entered above.f (–2) is less than✔ equal togreater than the remainder when dividing the polynomial by x + 2.

Revolt · Accepted Answer

B: ✔ equal to

Question 7

Now, evaluate f (x) = 2x4 – 4x3 – 11x2 + 3x – 6 for x = –2.f (–2) =

Revolt · Accepted Answer

8

Question 8

Identify all of the roots of the function.f(x) = x3 – 5x2 – 2x + 24

Revolt · Accepted Answer

A: –2; D: 3; E: 4

Question 9

The result of dividing (x3 + x2 – 22x – 40) by (x – 5) is x2 + 6x + 8. Select all of the factor(s) of x2 + 6x + 8.

Revolt · Accepted Answer

B: (x + 4); D: (x + 2)

Question 10

The completely factored form of the polynomial is f(x) = (x – 5)(x – 2)(x – 4)✔ (x – 5)(x + 2)(x + 4)(x – 5)(x2 + 6x + 8).

Revolt · Accepted Answer

B: ✔ (x – 5)(x + 2)(x + 4)

Synthetic Division and the Remainder Theorem Answers

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